Let's break down the problem step-by-step:
1. Determine the total cost for going out four times during the week:
- Start by understanding the cost per outing. We have a total final budget of [tex]$330 for 5 outings in a week.
- To find the cost per outing: \(\text{Cost per outing} = \frac{\text{Total Budget}}{\text{Number of Outings}} = \frac{330}{5} = 66\)
- So the cost per outing is $[/tex]66.
- If you go out four times during that week, the total cost would be:
[tex]\[\text{Total cost for 4 outings} = \text{Cost per outing} \times 4 = 66 \times 4 = \$264\][/tex]
2. Determine the maximum number of times you can go out within a budget of [tex]$330:
- Knowing the cost per outing is $[/tex]66, you want to see how many times you can go out with a total budget of [tex]$330.
- Maximum number of outings within the budget:
\[\text{Max outings} = \frac{\text{Total Budget}}{\text{Cost per outing}} = \frac{330}{66} = 5 \text{ outings}\]
So, the detailed answers are:
- If you go out four times during the week, you will have spent a total of $[/tex]264 for the week.
- With your maximum budget of $330, you can go out 5 times.
